What is the Least Common Multiple of 63700 and 63714?

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 63700 and 63714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63700 and 63714, than apply into the LCM equation.

GCF(63700,63714) = 14
LCM(63700,63714) = ( 63700 × 63714) / 14
LCM(63700,63714) = 4058581800 / 14
LCM(63700,63714) = 289898700

Least Common Multiple (LCM) of 63700 and 63714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63700 and 63714. First we will calculate the prime factors of 63700 and 63714.

Prime Factorization of 63700

Prime Factorization of 63714

Now multiplying the highest exponent prime factors to calculate the LCM of 63700 and 63714.

LCM(63700,63714) = 2² × 5² × 7² × 13¹ × 3¹ × 37¹ × 41¹
LCM(63700,63714) = 289898700