What is the Least Common Multiple of 55725 and 55740?

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 55725 and 55740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55725 and 55740, than apply into the LCM equation.

GCF(55725,55740) = 15
LCM(55725,55740) = ( 55725 × 55740) / 15
LCM(55725,55740) = 3106111500 / 15
LCM(55725,55740) = 207074100

Least Common Multiple (LCM) of 55725 and 55740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55725 and 55740. First we will calculate the prime factors of 55725 and 55740.

Prime Factorization of 55725

Prime Factorization of 55740

Now multiplying the highest exponent prime factors to calculate the LCM of 55725 and 55740.

LCM(55725,55740) = 3¹ × 5² × 743¹ × 2² × 929¹
LCM(55725,55740) = 207074100