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What is the Least Common Multiple of 48620 and 48637?

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 48620 and 48637 is 139101820.

LCM(48620,48637) = 139101820

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Least Common Multiple of 48620 and 48637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48620 and 48637, than apply into the LCM equation.

GCF(48620,48637) = 17
LCM(48620,48637) = ( 48620 × 48637) / 17
LCM(48620,48637) = 2364730940 / 17
LCM(48620,48637) = 139101820

Least Common Multiple (LCM) of 48620 and 48637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48620 and 48637. First we will calculate the prime factors of 48620 and 48637.

Prime Factorization of 48620

Prime factors of 48620 are 2, 5, 11, 13, 17. Prime factorization of 48620 in exponential form is:

48620 = 22 × 51 × 111 × 131 × 171

Prime Factorization of 48637

Prime factors of 48637 are 17, 2861. Prime factorization of 48637 in exponential form is:

48637 = 171 × 28611

Now multiplying the highest exponent prime factors to calculate the LCM of 48620 and 48637.

LCM(48620,48637) = 22 × 51 × 111 × 131 × 171 × 28611
LCM(48620,48637) = 139101820