What is the Least Common Multiple of 48698 and 48715?

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 48698 and 48715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48698 and 48715, than apply into the LCM equation.

GCF(48698,48715) = 1
LCM(48698,48715) = ( 48698 × 48715) / 1
LCM(48698,48715) = 2372323070 / 1
LCM(48698,48715) = 2372323070

Least Common Multiple (LCM) of 48698 and 48715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48698 and 48715. First we will calculate the prime factors of 48698 and 48715.

Prime Factorization of 48698

Prime Factorization of 48715

Now multiplying the highest exponent prime factors to calculate the LCM of 48698 and 48715.

LCM(48698,48715) = 2¹ × 13¹ × 1873¹ × 5¹ × 9743¹
LCM(48698,48715) = 2372323070