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What is the Least Common Multiple of 54692 and 54707?

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 54692 and 54707 is 2992035244.

LCM(54692,54707) = 2992035244

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Least Common Multiple of 54692 and 54707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54692 and 54707, than apply into the LCM equation.

GCF(54692,54707) = 1
LCM(54692,54707) = ( 54692 × 54707) / 1
LCM(54692,54707) = 2992035244 / 1
LCM(54692,54707) = 2992035244

Least Common Multiple (LCM) of 54692 and 54707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54692 and 54707. First we will calculate the prime factors of 54692 and 54707.

Prime Factorization of 54692

Prime factors of 54692 are 2, 11, 113. Prime factorization of 54692 in exponential form is:

54692 = 22 × 112 × 1131

Prime Factorization of 54707

Prime factors of 54707 are 227, 241. Prime factorization of 54707 in exponential form is:

54707 = 2271 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 54692 and 54707.

LCM(54692,54707) = 22 × 112 × 1131 × 2271 × 2411
LCM(54692,54707) = 2992035244