What is the Least Common Multiple of 63472 and 63492?

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 63472 and 63492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63472 and 63492, than apply into the LCM equation.

GCF(63472,63492) = 4
LCM(63472,63492) = ( 63472 × 63492) / 4
LCM(63472,63492) = 4029964224 / 4
LCM(63472,63492) = 1007491056

Least Common Multiple (LCM) of 63472 and 63492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63472 and 63492. First we will calculate the prime factors of 63472 and 63492.

Prime Factorization of 63472

Prime Factorization of 63492

Now multiplying the highest exponent prime factors to calculate the LCM of 63472 and 63492.

LCM(63472,63492) = 2⁴ × 3967¹ × 3¹ × 11¹ × 13¹ × 37¹
LCM(63472,63492) = 1007491056