What is the Least Common Multiple of 63690 and 63710?

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 63690 and 63710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63690 and 63710, than apply into the LCM equation.

GCF(63690,63710) = 10
LCM(63690,63710) = ( 63690 × 63710) / 10
LCM(63690,63710) = 4057689900 / 10
LCM(63690,63710) = 405768990

Least Common Multiple (LCM) of 63690 and 63710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63690 and 63710. First we will calculate the prime factors of 63690 and 63710.

Prime Factorization of 63690

Prime Factorization of 63710

Now multiplying the highest exponent prime factors to calculate the LCM of 63690 and 63710.

LCM(63690,63710) = 2¹ × 3¹ × 5¹ × 11¹ × 193¹ × 23¹ × 277¹
LCM(63690,63710) = 405768990