What is the Least Common Multiple of 61996 and 62008?

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 61996 and 62008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61996 and 62008, than apply into the LCM equation.

GCF(61996,62008) = 4
LCM(61996,62008) = ( 61996 × 62008) / 4
LCM(61996,62008) = 3844247968 / 4
LCM(61996,62008) = 961061992

Least Common Multiple (LCM) of 61996 and 62008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61996 and 62008. First we will calculate the prime factors of 61996 and 62008.

Prime Factorization of 61996

Prime Factorization of 62008

Now multiplying the highest exponent prime factors to calculate the LCM of 61996 and 62008.

LCM(61996,62008) = 2³ × 11¹ × 1409¹ × 23¹ × 337¹
LCM(61996,62008) = 961061992