What is the Least Common Multiple of 60993 and 61002?

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 60993 and 61002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60993 and 61002, than apply into the LCM equation.

GCF(60993,61002) = 9
LCM(60993,61002) = ( 60993 × 61002) / 9
LCM(60993,61002) = 3720694986 / 9
LCM(60993,61002) = 413410554

Least Common Multiple (LCM) of 60993 and 61002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60993 and 61002. First we will calculate the prime factors of 60993 and 61002.

Prime Factorization of 60993

Prime Factorization of 61002

Now multiplying the highest exponent prime factors to calculate the LCM of 60993 and 61002.

LCM(60993,61002) = 3⁵ × 251¹ × 2¹ × 3389¹
LCM(60993,61002) = 413410554