What is the Least Common Multiple of 40710 and 40728?

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 40710 and 40728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40710 and 40728, than apply into the LCM equation.

GCF(40710,40728) = 6
LCM(40710,40728) = ( 40710 × 40728) / 6
LCM(40710,40728) = 1658036880 / 6
LCM(40710,40728) = 276339480

Least Common Multiple (LCM) of 40710 and 40728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40710 and 40728. First we will calculate the prime factors of 40710 and 40728.

Prime Factorization of 40710

Prime Factorization of 40728

Now multiplying the highest exponent prime factors to calculate the LCM of 40710 and 40728.

LCM(40710,40728) = 2³ × 3¹ × 5¹ × 23¹ × 59¹ × 1697¹
LCM(40710,40728) = 276339480