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What is the Least Common Multiple of 94820 and 94828?

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 94820 and 94828 is 2247897740.

LCM(94820,94828) = 2247897740

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Least Common Multiple of 94820 and 94828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94820 and 94828, than apply into the LCM equation.

GCF(94820,94828) = 4
LCM(94820,94828) = ( 94820 × 94828) / 4
LCM(94820,94828) = 8991590960 / 4
LCM(94820,94828) = 2247897740

Least Common Multiple (LCM) of 94820 and 94828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94820 and 94828. First we will calculate the prime factors of 94820 and 94828.

Prime Factorization of 94820

Prime factors of 94820 are 2, 5, 11, 431. Prime factorization of 94820 in exponential form is:

94820 = 22 × 51 × 111 × 4311

Prime Factorization of 94828

Prime factors of 94828 are 2, 151, 157. Prime factorization of 94828 in exponential form is:

94828 = 22 × 1511 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 94820 and 94828.

LCM(94820,94828) = 22 × 51 × 111 × 4311 × 1511 × 1571
LCM(94820,94828) = 2247897740