What is the Least Common Multiple of 60754 and 60761?

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 60754 and 60761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60754 and 60761, than apply into the LCM equation.

GCF(60754,60761) = 1
LCM(60754,60761) = ( 60754 × 60761) / 1
LCM(60754,60761) = 3691473794 / 1
LCM(60754,60761) = 3691473794

Least Common Multiple (LCM) of 60754 and 60761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60754 and 60761. First we will calculate the prime factors of 60754 and 60761.

Prime Factorization of 60754

Prime Factorization of 60761

Now multiplying the highest exponent prime factors to calculate the LCM of 60754 and 60761.

LCM(60754,60761) = 2¹ × 37¹ × 821¹ × 60761¹
LCM(60754,60761) = 3691473794