What is the Least Common Multiple of 62730 and 62748?

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 62730 and 62748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62730 and 62748, than apply into the LCM equation.

GCF(62730,62748) = 18
LCM(62730,62748) = ( 62730 × 62748) / 18
LCM(62730,62748) = 3936182040 / 18
LCM(62730,62748) = 218676780

Least Common Multiple (LCM) of 62730 and 62748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62730 and 62748. First we will calculate the prime factors of 62730 and 62748.

Prime Factorization of 62730

Prime Factorization of 62748

Now multiplying the highest exponent prime factors to calculate the LCM of 62730 and 62748.

LCM(62730,62748) = 2² × 3³ × 5¹ × 17¹ × 41¹ × 7¹ × 83¹
LCM(62730,62748) = 218676780