What is the Least Common Multiple of 50970 and 50979?

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 50970 and 50979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50970 and 50979, than apply into the LCM equation.

GCF(50970,50979) = 3
LCM(50970,50979) = ( 50970 × 50979) / 3
LCM(50970,50979) = 2598399630 / 3
LCM(50970,50979) = 866133210

Least Common Multiple (LCM) of 50970 and 50979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50970 and 50979. First we will calculate the prime factors of 50970 and 50979.

Prime Factorization of 50970

Prime Factorization of 50979

Now multiplying the highest exponent prime factors to calculate the LCM of 50970 and 50979.

LCM(50970,50979) = 2¹ × 3¹ × 5¹ × 1699¹ × 16993¹
LCM(50970,50979) = 866133210