What is the Least Common Multiple of 53700 and 53719?

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 53700 and 53719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53700 and 53719, than apply into the LCM equation.

GCF(53700,53719) = 1
LCM(53700,53719) = ( 53700 × 53719) / 1
LCM(53700,53719) = 2884710300 / 1
LCM(53700,53719) = 2884710300

Least Common Multiple (LCM) of 53700 and 53719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53700 and 53719. First we will calculate the prime factors of 53700 and 53719.

Prime Factorization of 53700

Prime Factorization of 53719

Now multiplying the highest exponent prime factors to calculate the LCM of 53700 and 53719.

LCM(53700,53719) = 2² × 3¹ × 5² × 179¹ × 53719¹
LCM(53700,53719) = 2884710300