What is the Least Common Multiple of 63374 and 63380?

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 63374 and 63380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63374 and 63380, than apply into the LCM equation.

GCF(63374,63380) = 2
LCM(63374,63380) = ( 63374 × 63380) / 2
LCM(63374,63380) = 4016644120 / 2
LCM(63374,63380) = 2008322060

Least Common Multiple (LCM) of 63374 and 63380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63374 and 63380. First we will calculate the prime factors of 63374 and 63380.

Prime Factorization of 63374

Prime Factorization of 63380

Now multiplying the highest exponent prime factors to calculate the LCM of 63374 and 63380.

LCM(63374,63380) = 2² × 31687¹ × 5¹ × 3169¹
LCM(63374,63380) = 2008322060