What is the Least Common Multiple of 54742 and 54760?

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 54742 and 54760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54742 and 54760, than apply into the LCM equation.

GCF(54742,54760) = 2
LCM(54742,54760) = ( 54742 × 54760) / 2
LCM(54742,54760) = 2997671920 / 2
LCM(54742,54760) = 1498835960

Least Common Multiple (LCM) of 54742 and 54760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54742 and 54760. First we will calculate the prime factors of 54742 and 54760.

Prime Factorization of 54742

Prime Factorization of 54760

Now multiplying the highest exponent prime factors to calculate the LCM of 54742 and 54760.

LCM(54742,54760) = 2³ × 101¹ × 271¹ × 5¹ × 37²
LCM(54742,54760) = 1498835960