What is the Least Common Multiple of 70122 and 70138?

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 70122 and 70138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70122 and 70138, than apply into the LCM equation.

GCF(70122,70138) = 2
LCM(70122,70138) = ( 70122 × 70138) / 2
LCM(70122,70138) = 4918216836 / 2
LCM(70122,70138) = 2459108418

Least Common Multiple (LCM) of 70122 and 70138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70122 and 70138. First we will calculate the prime factors of 70122 and 70138.

Prime Factorization of 70122

Prime Factorization of 70138

Now multiplying the highest exponent prime factors to calculate the LCM of 70122 and 70138.

LCM(70122,70138) = 2¹ × 3¹ × 13¹ × 29¹ × 31¹ × 35069¹
LCM(70122,70138) = 2459108418