What is the Least Common Multiple of 74130 and 74138?

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 74130 and 74138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74130 and 74138, than apply into the LCM equation.

GCF(74130,74138) = 2
LCM(74130,74138) = ( 74130 × 74138) / 2
LCM(74130,74138) = 5495849940 / 2
LCM(74130,74138) = 2747924970

Least Common Multiple (LCM) of 74130 and 74138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74130 and 74138. First we will calculate the prime factors of 74130 and 74138.

Prime Factorization of 74130

Prime Factorization of 74138

Now multiplying the highest exponent prime factors to calculate the LCM of 74130 and 74138.

LCM(74130,74138) = 2¹ × 3¹ × 5¹ × 7¹ × 353¹ × 19¹ × 1951¹
LCM(74130,74138) = 2747924970