What is the Least Common Multiple of 70725 and 70740?

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 70725 and 70740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70725 and 70740, than apply into the LCM equation.

GCF(70725,70740) = 15
LCM(70725,70740) = ( 70725 × 70740) / 15
LCM(70725,70740) = 5003086500 / 15
LCM(70725,70740) = 333539100

Least Common Multiple (LCM) of 70725 and 70740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70725 and 70740. First we will calculate the prime factors of 70725 and 70740.

Prime Factorization of 70725

Prime Factorization of 70740

Now multiplying the highest exponent prime factors to calculate the LCM of 70725 and 70740.

LCM(70725,70740) = 3³ × 5² × 23¹ × 41¹ × 2² × 131¹
LCM(70725,70740) = 333539100