What is the Least Common Multiple of 70980 and 70998?

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 70998 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 70998, than apply into the LCM equation.

GCF(70980,70998) = 6
LCM(70980,70998) = ( 70980 × 70998) / 6
LCM(70980,70998) = 5039438040 / 6
LCM(70980,70998) = 839906340

Least Common Multiple (LCM) of 70980 and 70998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70980 and 70998. First we will calculate the prime factors of 70980 and 70998.

Prime Factorization of 70980

Prime Factorization of 70998

Now multiplying the highest exponent prime factors to calculate the LCM of 70980 and 70998.

LCM(70980,70998) = 2² × 3¹ × 5¹ × 7¹ × 13² × 11833¹
LCM(70980,70998) = 839906340