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What is the Least Common Multiple of 54677 and 54693?

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 54677 and 54693 is 2990449161.

LCM(54677,54693) = 2990449161

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Least Common Multiple of 54677 and 54693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54677 and 54693, than apply into the LCM equation.

GCF(54677,54693) = 1
LCM(54677,54693) = ( 54677 × 54693) / 1
LCM(54677,54693) = 2990449161 / 1
LCM(54677,54693) = 2990449161

Least Common Multiple (LCM) of 54677 and 54693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54677 and 54693. First we will calculate the prime factors of 54677 and 54693.

Prime Factorization of 54677

Prime factors of 54677 are 7, 73, 107. Prime factorization of 54677 in exponential form is:

54677 = 71 × 731 × 1071

Prime Factorization of 54693

Prime factors of 54693 are 3, 59, 103. Prime factorization of 54693 in exponential form is:

54693 = 32 × 591 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 54677 and 54693.

LCM(54677,54693) = 71 × 731 × 1071 × 32 × 591 × 1031
LCM(54677,54693) = 2990449161