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What is the Least Common Multiple of 49268 and 49276?

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 49268 and 49276 is 606932492.

LCM(49268,49276) = 606932492

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Least Common Multiple of 49268 and 49276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49268 and 49276, than apply into the LCM equation.

GCF(49268,49276) = 4
LCM(49268,49276) = ( 49268 × 49276) / 4
LCM(49268,49276) = 2427729968 / 4
LCM(49268,49276) = 606932492

Least Common Multiple (LCM) of 49268 and 49276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49268 and 49276. First we will calculate the prime factors of 49268 and 49276.

Prime Factorization of 49268

Prime factors of 49268 are 2, 109, 113. Prime factorization of 49268 in exponential form is:

49268 = 22 × 1091 × 1131

Prime Factorization of 49276

Prime factors of 49276 are 2, 97, 127. Prime factorization of 49276 in exponential form is:

49276 = 22 × 971 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 49268 and 49276.

LCM(49268,49276) = 22 × 1091 × 1131 × 971 × 1271
LCM(49268,49276) = 606932492