What is the Least Common Multiple of 83720 and 83730?

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 83720 and 83730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83720 and 83730, than apply into the LCM equation.

GCF(83720,83730) = 10
LCM(83720,83730) = ( 83720 × 83730) / 10
LCM(83720,83730) = 7009875600 / 10
LCM(83720,83730) = 700987560

Least Common Multiple (LCM) of 83720 and 83730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83720 and 83730. First we will calculate the prime factors of 83720 and 83730.

Prime Factorization of 83720

Prime Factorization of 83730

Now multiplying the highest exponent prime factors to calculate the LCM of 83720 and 83730.

LCM(83720,83730) = 2³ × 5¹ × 7¹ × 13¹ × 23¹ × 3¹ × 2791¹
LCM(83720,83730) = 700987560