What is the Least Common Multiple of 62656 and 62670?

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 62656 and 62670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62656 and 62670, than apply into the LCM equation.

GCF(62656,62670) = 2
LCM(62656,62670) = ( 62656 × 62670) / 2
LCM(62656,62670) = 3926651520 / 2
LCM(62656,62670) = 1963325760

Least Common Multiple (LCM) of 62656 and 62670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62656 and 62670. First we will calculate the prime factors of 62656 and 62670.

Prime Factorization of 62656

Prime Factorization of 62670

Now multiplying the highest exponent prime factors to calculate the LCM of 62656 and 62670.

LCM(62656,62670) = 2⁶ × 11¹ × 89¹ × 3¹ × 5¹ × 2089¹
LCM(62656,62670) = 1963325760