What is the Least Common Multiple of 49736 and 49751?

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 of 49736 and 49751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49736 and 49751, than apply into the LCM equation.

GCF(49736,49751) = 1
LCM(49736,49751) = ( 49736 × 49751) / 1
LCM(49736,49751) = 2474415736 / 1
LCM(49736,49751) = 2474415736

Least Common Multiple (LCM) of 49736 and 49751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49736 and 49751. First we will calculate the prime factors of 49736 and 49751.

Prime Factorization of 49736

Prime Factorization of 49751

Now multiplying the highest exponent prime factors to calculate the LCM of 49736 and 49751.

LCM(49736,49751) = 2³ × 6217¹ × 13¹ × 43¹ × 89¹
LCM(49736,49751) = 2474415736