What is the Least Common Multiple of 62824 and 62832?

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 62824 and 62832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62824 and 62832, than apply into the LCM equation.

GCF(62824,62832) = 8
LCM(62824,62832) = ( 62824 × 62832) / 8
LCM(62824,62832) = 3947357568 / 8
LCM(62824,62832) = 493419696

Least Common Multiple (LCM) of 62824 and 62832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62824 and 62832. First we will calculate the prime factors of 62824 and 62832.

Prime Factorization of 62824

Prime Factorization of 62832

Now multiplying the highest exponent prime factors to calculate the LCM of 62824 and 62832.

LCM(62824,62832) = 2⁴ × 7853¹ × 3¹ × 7¹ × 11¹ × 17¹
LCM(62824,62832) = 493419696