What is the Least Common Multiple of 49700 and 49710?

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 49710 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 49710, than apply into the LCM equation.

GCF(49700,49710) = 10
LCM(49700,49710) = ( 49700 × 49710) / 10
LCM(49700,49710) = 2470587000 / 10
LCM(49700,49710) = 247058700

Least Common Multiple (LCM) of 49700 and 49710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49700 and 49710. First we will calculate the prime factors of 49700 and 49710.

Prime Factorization of 49700

Prime Factorization of 49710

Now multiplying the highest exponent prime factors to calculate the LCM of 49700 and 49710.

LCM(49700,49710) = 2² × 5² × 7¹ × 71¹ × 3¹ × 1657¹
LCM(49700,49710) = 247058700