What is the Least Common Multiple of 70980 and 70991?

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 70980 and 70991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70980 and 70991, than apply into the LCM equation.

GCF(70980,70991) = 1
LCM(70980,70991) = ( 70980 × 70991) / 1
LCM(70980,70991) = 5038941180 / 1
LCM(70980,70991) = 5038941180

Least Common Multiple (LCM) of 70980 and 70991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70980 and 70991. First we will calculate the prime factors of 70980 and 70991.

Prime Factorization of 70980

Prime Factorization of 70991

Now multiplying the highest exponent prime factors to calculate the LCM of 70980 and 70991.

LCM(70980,70991) = 2² × 3¹ × 5¹ × 7¹ × 13² × 70991¹
LCM(70980,70991) = 5038941180