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What is the Least Common Multiple of 48510 and 48525?

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 48510 and 48525 is 156929850.

LCM(48510,48525) = 156929850

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Least Common Multiple of 48510 and 48525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48510 and 48525, than apply into the LCM equation.

GCF(48510,48525) = 15
LCM(48510,48525) = ( 48510 × 48525) / 15
LCM(48510,48525) = 2353947750 / 15
LCM(48510,48525) = 156929850

Least Common Multiple (LCM) of 48510 and 48525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48510 and 48525. First we will calculate the prime factors of 48510 and 48525.

Prime Factorization of 48510

Prime factors of 48510 are 2, 3, 5, 7, 11. Prime factorization of 48510 in exponential form is:

48510 = 21 × 32 × 51 × 72 × 111

Prime Factorization of 48525

Prime factors of 48525 are 3, 5, 647. Prime factorization of 48525 in exponential form is:

48525 = 31 × 52 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 48510 and 48525.

LCM(48510,48525) = 21 × 32 × 52 × 72 × 111 × 6471
LCM(48510,48525) = 156929850