What is the Least Common Multiple of 60760 and 60768?

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 60760 and 60768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60760 and 60768, than apply into the LCM equation.

GCF(60760,60768) = 8
LCM(60760,60768) = ( 60760 × 60768) / 8
LCM(60760,60768) = 3692263680 / 8
LCM(60760,60768) = 461532960

Least Common Multiple (LCM) of 60760 and 60768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60760 and 60768. First we will calculate the prime factors of 60760 and 60768.

Prime Factorization of 60760

Prime Factorization of 60768

Now multiplying the highest exponent prime factors to calculate the LCM of 60760 and 60768.

LCM(60760,60768) = 2⁵ × 5¹ × 7² × 31¹ × 3² × 211¹
LCM(60760,60768) = 461532960