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What is the Least Common Multiple of 74482 and 74502?

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 74482 and 74502 is 2774528982.

LCM(74482,74502) = 2774528982

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Least Common Multiple of 74482 and 74502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74482 and 74502, than apply into the LCM equation.

GCF(74482,74502) = 2
LCM(74482,74502) = ( 74482 × 74502) / 2
LCM(74482,74502) = 5549057964 / 2
LCM(74482,74502) = 2774528982

Least Common Multiple (LCM) of 74482 and 74502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74482 and 74502. First we will calculate the prime factors of 74482 and 74502.

Prime Factorization of 74482

Prime factors of 74482 are 2, 167, 223. Prime factorization of 74482 in exponential form is:

74482 = 21 × 1671 × 2231

Prime Factorization of 74502

Prime factors of 74502 are 2, 3, 4139. Prime factorization of 74502 in exponential form is:

74502 = 21 × 32 × 41391

Now multiplying the highest exponent prime factors to calculate the LCM of 74482 and 74502.

LCM(74482,74502) = 21 × 1671 × 2231 × 32 × 41391
LCM(74482,74502) = 2774528982