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What is the Least Common Multiple of 62137 and 62154?

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 62137 and 62154 is 3862063098.

LCM(62137,62154) = 3862063098

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Least Common Multiple of 62137 and 62154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62137 and 62154, than apply into the LCM equation.

GCF(62137,62154) = 1
LCM(62137,62154) = ( 62137 × 62154) / 1
LCM(62137,62154) = 3862063098 / 1
LCM(62137,62154) = 3862063098

Least Common Multiple (LCM) of 62137 and 62154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62137 and 62154. First we will calculate the prime factors of 62137 and 62154.

Prime Factorization of 62137

Prime factors of 62137 are 62137. Prime factorization of 62137 in exponential form is:

62137 = 621371

Prime Factorization of 62154

Prime factors of 62154 are 2, 3, 1151. Prime factorization of 62154 in exponential form is:

62154 = 21 × 33 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 62137 and 62154.

LCM(62137,62154) = 621371 × 21 × 33 × 11511
LCM(62137,62154) = 3862063098