What is the Least Common Multiple of 53697 and 53711?

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 53697 and 53711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53697 and 53711, than apply into the LCM equation.

GCF(53697,53711) = 7
LCM(53697,53711) = ( 53697 × 53711) / 7
LCM(53697,53711) = 2884119567 / 7
LCM(53697,53711) = 412017081

Least Common Multiple (LCM) of 53697 and 53711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53697 and 53711. First we will calculate the prime factors of 53697 and 53711.

Prime Factorization of 53697

Prime Factorization of 53711

Now multiplying the highest exponent prime factors to calculate the LCM of 53697 and 53711.

LCM(53697,53711) = 3¹ × 7¹ × 2557¹ × 7673¹
LCM(53697,53711) = 412017081