What is the Least Common Multiple of 54760 and 54780?

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 54760 and 54780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54760 and 54780, than apply into the LCM equation.

GCF(54760,54780) = 20
LCM(54760,54780) = ( 54760 × 54780) / 20
LCM(54760,54780) = 2999752800 / 20
LCM(54760,54780) = 149987640

Least Common Multiple (LCM) of 54760 and 54780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54760 and 54780. First we will calculate the prime factors of 54760 and 54780.

Prime Factorization of 54760

Prime Factorization of 54780

Now multiplying the highest exponent prime factors to calculate the LCM of 54760 and 54780.

LCM(54760,54780) = 2³ × 5¹ × 37² × 3¹ × 11¹ × 83¹
LCM(54760,54780) = 149987640