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What is the Least Common Multiple of 49637 and 49646?

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 49637 and 49646 is 2464278502.

LCM(49637,49646) = 2464278502

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Least Common Multiple of 49637 and 49646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49637 and 49646, than apply into the LCM equation.

GCF(49637,49646) = 1
LCM(49637,49646) = ( 49637 × 49646) / 1
LCM(49637,49646) = 2464278502 / 1
LCM(49637,49646) = 2464278502

Least Common Multiple (LCM) of 49637 and 49646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49637 and 49646. First we will calculate the prime factors of 49637 and 49646.

Prime Factorization of 49637

Prime factors of 49637 are 7, 1013. Prime factorization of 49637 in exponential form is:

49637 = 72 × 10131

Prime Factorization of 49646

Prime factors of 49646 are 2, 103, 241. Prime factorization of 49646 in exponential form is:

49646 = 21 × 1031 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 49637 and 49646.

LCM(49637,49646) = 72 × 10131 × 21 × 1031 × 2411
LCM(49637,49646) = 2464278502