What is the Least Common Multiple of 49700 and 49715?

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 49700 and 49715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49700 and 49715, than apply into the LCM equation.

GCF(49700,49715) = 5
LCM(49700,49715) = ( 49700 × 49715) / 5
LCM(49700,49715) = 2470835500 / 5
LCM(49700,49715) = 494167100

Least Common Multiple (LCM) of 49700 and 49715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49700 and 49715. First we will calculate the prime factors of 49700 and 49715.

Prime Factorization of 49700

Prime Factorization of 49715

Now multiplying the highest exponent prime factors to calculate the LCM of 49700 and 49715.

LCM(49700,49715) = 2² × 5² × 7¹ × 71¹ × 61¹ × 163¹
LCM(49700,49715) = 494167100