What is the Least Common Multiple of 60770 and 60790?

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 60770 and 60790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60770 and 60790, than apply into the LCM equation.

GCF(60770,60790) = 10
LCM(60770,60790) = ( 60770 × 60790) / 10
LCM(60770,60790) = 3694208300 / 10
LCM(60770,60790) = 369420830

Least Common Multiple (LCM) of 60770 and 60790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60770 and 60790. First we will calculate the prime factors of 60770 and 60790.

Prime Factorization of 60770

Prime Factorization of 60790

Now multiplying the highest exponent prime factors to calculate the LCM of 60770 and 60790.

LCM(60770,60790) = 2¹ × 5¹ × 59¹ × 103¹ × 6079¹
LCM(60770,60790) = 369420830