What is the Least Common Multiple of 60762 and 60780?

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 60762 and 60780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60762 and 60780, than apply into the LCM equation.

GCF(60762,60780) = 6
LCM(60762,60780) = ( 60762 × 60780) / 6
LCM(60762,60780) = 3693114360 / 6
LCM(60762,60780) = 615519060

Least Common Multiple (LCM) of 60762 and 60780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60762 and 60780. First we will calculate the prime factors of 60762 and 60780.

Prime Factorization of 60762

Prime Factorization of 60780

Now multiplying the highest exponent prime factors to calculate the LCM of 60762 and 60780.

LCM(60762,60780) = 2² × 3¹ × 13¹ × 19¹ × 41¹ × 5¹ × 1013¹
LCM(60762,60780) = 615519060