What is the Least Common Multiple of 53730 and 53748?

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 53730 and 53748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53730 and 53748, than apply into the LCM equation.

GCF(53730,53748) = 18
LCM(53730,53748) = ( 53730 × 53748) / 18
LCM(53730,53748) = 2887880040 / 18
LCM(53730,53748) = 160437780

Least Common Multiple (LCM) of 53730 and 53748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53730 and 53748. First we will calculate the prime factors of 53730 and 53748.

Prime Factorization of 53730

Prime Factorization of 53748

Now multiplying the highest exponent prime factors to calculate the LCM of 53730 and 53748.

LCM(53730,53748) = 2² × 3³ × 5¹ × 199¹ × 1493¹
LCM(53730,53748) = 160437780