What is the Least Common Multiple of 70102 and 70119?

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 70102 and 70119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70102 and 70119, than apply into the LCM equation.

GCF(70102,70119) = 1
LCM(70102,70119) = ( 70102 × 70119) / 1
LCM(70102,70119) = 4915482138 / 1
LCM(70102,70119) = 4915482138

Least Common Multiple (LCM) of 70102 and 70119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70102 and 70119. First we will calculate the prime factors of 70102 and 70119.

Prime Factorization of 70102

Prime Factorization of 70119

Now multiplying the highest exponent prime factors to calculate the LCM of 70102 and 70119.

LCM(70102,70119) = 2¹ × 35051¹ × 3³ × 7² × 53¹
LCM(70102,70119) = 4915482138