What is the Least Common Multiple of 70998 and 71014?

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 70998 and 71014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70998 and 71014, than apply into the LCM equation.

GCF(70998,71014) = 2
LCM(70998,71014) = ( 70998 × 71014) / 2
LCM(70998,71014) = 5041851972 / 2
LCM(70998,71014) = 2520925986

Least Common Multiple (LCM) of 70998 and 71014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70998 and 71014. First we will calculate the prime factors of 70998 and 71014.

Prime Factorization of 70998

Prime Factorization of 71014

Now multiplying the highest exponent prime factors to calculate the LCM of 70998 and 71014.

LCM(70998,71014) = 2¹ × 3¹ × 11833¹ × 35507¹
LCM(70998,71014) = 2520925986