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What is the Least Common Multiple of 88250 and 88264?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 88250 and 88264 is 3894649000.

LCM(88250,88264) = 3894649000

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Least Common Multiple of 88250 and 88264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88250 and 88264, than apply into the LCM equation.

GCF(88250,88264) = 2
LCM(88250,88264) = ( 88250 × 88264) / 2
LCM(88250,88264) = 7789298000 / 2
LCM(88250,88264) = 3894649000

Least Common Multiple (LCM) of 88250 and 88264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88250 and 88264. First we will calculate the prime factors of 88250 and 88264.

Prime Factorization of 88250

Prime factors of 88250 are 2, 5, 353. Prime factorization of 88250 in exponential form is:

88250 = 21 × 53 × 3531

Prime Factorization of 88264

Prime factors of 88264 are 2, 11, 17, 59. Prime factorization of 88264 in exponential form is:

88264 = 23 × 111 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 88250 and 88264.

LCM(88250,88264) = 23 × 53 × 3531 × 111 × 171 × 591
LCM(88250,88264) = 3894649000

Related Least Common Multiples of 88250

Related Least Common Multiples of 88264