What is the Least Common Multiple of 79950 and 79961?

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 79950 and 79961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79950 and 79961, than apply into the LCM equation.

GCF(79950,79961) = 1
LCM(79950,79961) = ( 79950 × 79961) / 1
LCM(79950,79961) = 6392881950 / 1
LCM(79950,79961) = 6392881950

Least Common Multiple (LCM) of 79950 and 79961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79950 and 79961. First we will calculate the prime factors of 79950 and 79961.

Prime Factorization of 79950

Prime Factorization of 79961

Now multiplying the highest exponent prime factors to calculate the LCM of 79950 and 79961.

LCM(79950,79961) = 2¹ × 3¹ × 5² × 13¹ × 41¹ × 7¹ × 11423¹
LCM(79950,79961) = 6392881950