What is the Least Common Multiple of 62746 and 62760?

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 62746 and 62760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62746 and 62760, than apply into the LCM equation.

GCF(62746,62760) = 2
LCM(62746,62760) = ( 62746 × 62760) / 2
LCM(62746,62760) = 3937938960 / 2
LCM(62746,62760) = 1968969480

Least Common Multiple (LCM) of 62746 and 62760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62746 and 62760. First we will calculate the prime factors of 62746 and 62760.

Prime Factorization of 62746

Prime Factorization of 62760

Now multiplying the highest exponent prime factors to calculate the LCM of 62746 and 62760.

LCM(62746,62760) = 2³ × 137¹ × 229¹ × 3¹ × 5¹ × 523¹
LCM(62746,62760) = 1968969480