What is the Least Common Multiple of 62966 and 62976?

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 62966 and 62976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62966 and 62976, than apply into the LCM equation.

GCF(62966,62976) = 2
LCM(62966,62976) = ( 62966 × 62976) / 2
LCM(62966,62976) = 3965346816 / 2
LCM(62966,62976) = 1982673408

Least Common Multiple (LCM) of 62966 and 62976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62966 and 62976. First we will calculate the prime factors of 62966 and 62976.

Prime Factorization of 62966

Prime Factorization of 62976

Now multiplying the highest exponent prime factors to calculate the LCM of 62966 and 62976.

LCM(62966,62976) = 2⁹ × 19¹ × 1657¹ × 3¹ × 41¹
LCM(62966,62976) = 1982673408