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What is the Least Common Multiple of 45975 and 45992?

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 45975 and 45992 is 2114482200.

LCM(45975,45992) = 2114482200

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Least Common Multiple of 45975 and 45992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45975 and 45992, than apply into the LCM equation.

GCF(45975,45992) = 1
LCM(45975,45992) = ( 45975 × 45992) / 1
LCM(45975,45992) = 2114482200 / 1
LCM(45975,45992) = 2114482200

Least Common Multiple (LCM) of 45975 and 45992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45975 and 45992. First we will calculate the prime factors of 45975 and 45992.

Prime Factorization of 45975

Prime factors of 45975 are 3, 5, 613. Prime factorization of 45975 in exponential form is:

45975 = 31 × 52 × 6131

Prime Factorization of 45992

Prime factors of 45992 are 2, 5749. Prime factorization of 45992 in exponential form is:

45992 = 23 × 57491

Now multiplying the highest exponent prime factors to calculate the LCM of 45975 and 45992.

LCM(45975,45992) = 31 × 52 × 6131 × 23 × 57491
LCM(45975,45992) = 2114482200