What is the Least Common Multiple of 60996 and 61000?

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 60996 and 61000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60996 and 61000, than apply into the LCM equation.

GCF(60996,61000) = 4
LCM(60996,61000) = ( 60996 × 61000) / 4
LCM(60996,61000) = 3720756000 / 4
LCM(60996,61000) = 930189000

Least Common Multiple (LCM) of 60996 and 61000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60996 and 61000. First we will calculate the prime factors of 60996 and 61000.

Prime Factorization of 60996

Prime Factorization of 61000

Now multiplying the highest exponent prime factors to calculate the LCM of 60996 and 61000.

LCM(60996,61000) = 2³ × 3¹ × 13¹ × 17¹ × 23¹ × 5³ × 61¹
LCM(60996,61000) = 930189000