What is the Least Common Multiple of 61997 and 62005?

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 61997 and 62005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61997 and 62005, than apply into the LCM equation.

GCF(61997,62005) = 1
LCM(61997,62005) = ( 61997 × 62005) / 1
LCM(61997,62005) = 3844123985 / 1
LCM(61997,62005) = 3844123985

Least Common Multiple (LCM) of 61997 and 62005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61997 and 62005. First we will calculate the prime factors of 61997 and 62005.

Prime Factorization of 61997

Prime Factorization of 62005

Now multiplying the highest exponent prime factors to calculate the LCM of 61997 and 62005.

LCM(61997,62005) = 13¹ × 19¹ × 251¹ × 5¹ × 12401¹
LCM(61997,62005) = 3844123985