What is the Least Common Multiple of 49700 and 49720?

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 49720 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 49720, than apply into the LCM equation.

GCF(49700,49720) = 20
LCM(49700,49720) = ( 49700 × 49720) / 20
LCM(49700,49720) = 2471084000 / 20
LCM(49700,49720) = 123554200

Least Common Multiple (LCM) of 49700 and 49720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49700 and 49720. First we will calculate the prime factors of 49700 and 49720.

Prime Factorization of 49700

Prime Factorization of 49720

Now multiplying the highest exponent prime factors to calculate the LCM of 49700 and 49720.

LCM(49700,49720) = 2³ × 5² × 7¹ × 71¹ × 11¹ × 113¹
LCM(49700,49720) = 123554200