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What is the Least Common Multiple of 40975 and 40986?

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 40975 and 40986 is 152672850.

LCM(40975,40986) = 152672850

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Least Common Multiple of 40975 and 40986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40975 and 40986, than apply into the LCM equation.

GCF(40975,40986) = 11
LCM(40975,40986) = ( 40975 × 40986) / 11
LCM(40975,40986) = 1679401350 / 11
LCM(40975,40986) = 152672850

Least Common Multiple (LCM) of 40975 and 40986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40975 and 40986. First we will calculate the prime factors of 40975 and 40986.

Prime Factorization of 40975

Prime factors of 40975 are 5, 11, 149. Prime factorization of 40975 in exponential form is:

40975 = 52 × 111 × 1491

Prime Factorization of 40986

Prime factors of 40986 are 2, 3, 11, 23. Prime factorization of 40986 in exponential form is:

40986 = 21 × 34 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 40975 and 40986.

LCM(40975,40986) = 52 × 111 × 1491 × 21 × 34 × 231
LCM(40975,40986) = 152672850