What is the Least Common Multiple of 63420 and 63436?

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 63420 and 63436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63420 and 63436, than apply into the LCM equation.

GCF(63420,63436) = 4
LCM(63420,63436) = ( 63420 × 63436) / 4
LCM(63420,63436) = 4023111120 / 4
LCM(63420,63436) = 1005777780

Least Common Multiple (LCM) of 63420 and 63436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63420 and 63436. First we will calculate the prime factors of 63420 and 63436.

Prime Factorization of 63420

Prime Factorization of 63436

Now multiplying the highest exponent prime factors to calculate the LCM of 63420 and 63436.

LCM(63420,63436) = 2² × 3¹ × 5¹ × 7¹ × 151¹ × 15859¹
LCM(63420,63436) = 1005777780