What is the Least Common Multiple of 53725 and 53732?

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 53725 and 53732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53725 and 53732, than apply into the LCM equation.

GCF(53725,53732) = 7
LCM(53725,53732) = ( 53725 × 53732) / 7
LCM(53725,53732) = 2886751700 / 7
LCM(53725,53732) = 412393100

Least Common Multiple (LCM) of 53725 and 53732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53725 and 53732. First we will calculate the prime factors of 53725 and 53732.

Prime Factorization of 53725

Prime Factorization of 53732

Now multiplying the highest exponent prime factors to calculate the LCM of 53725 and 53732.

LCM(53725,53732) = 5² × 7¹ × 307¹ × 2² × 19¹ × 101¹
LCM(53725,53732) = 412393100