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What is the Least Common Multiple of 8942 and 8962?

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 8942 and 8962 is 40069102.

LCM(8942,8962) = 40069102

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Least Common Multiple of 8942 and 8962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8942 and 8962, than apply into the LCM equation.

GCF(8942,8962) = 2
LCM(8942,8962) = ( 8942 × 8962) / 2
LCM(8942,8962) = 80138204 / 2
LCM(8942,8962) = 40069102

Least Common Multiple (LCM) of 8942 and 8962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8942 and 8962. First we will calculate the prime factors of 8942 and 8962.

Prime Factorization of 8942

Prime factors of 8942 are 2, 17, 263. Prime factorization of 8942 in exponential form is:

8942 = 21 × 171 × 2631

Prime Factorization of 8962

Prime factors of 8962 are 2, 4481. Prime factorization of 8962 in exponential form is:

8962 = 21 × 44811

Now multiplying the highest exponent prime factors to calculate the LCM of 8942 and 8962.

LCM(8942,8962) = 21 × 171 × 2631 × 44811
LCM(8942,8962) = 40069102