What is the Least Common Multiple of 70980 and 70990?

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 70990 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 70990, than apply into the LCM equation.

GCF(70980,70990) = 10
LCM(70980,70990) = ( 70980 × 70990) / 10
LCM(70980,70990) = 5038870200 / 10
LCM(70980,70990) = 503887020

Least Common Multiple (LCM) of 70980 and 70990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70980 and 70990. First we will calculate the prime factors of 70980 and 70990.

Prime Factorization of 70980

Prime Factorization of 70990

Now multiplying the highest exponent prime factors to calculate the LCM of 70980 and 70990.

LCM(70980,70990) = 2² × 3¹ × 5¹ × 7¹ × 13² × 31¹ × 229¹
LCM(70980,70990) = 503887020