What is the Least Common Multiple of 60776 and 60792?

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 60776 and 60792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60776 and 60792, than apply into the LCM equation.

GCF(60776,60792) = 8
LCM(60776,60792) = ( 60776 × 60792) / 8
LCM(60776,60792) = 3694694592 / 8
LCM(60776,60792) = 461836824

Least Common Multiple (LCM) of 60776 and 60792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60776 and 60792. First we will calculate the prime factors of 60776 and 60792.

Prime Factorization of 60776

Prime Factorization of 60792

Now multiplying the highest exponent prime factors to calculate the LCM of 60776 and 60792.

LCM(60776,60792) = 2³ × 71¹ × 107¹ × 3¹ × 17¹ × 149¹
LCM(60776,60792) = 461836824