What is the Least Common Multiple of 74054 and 74070?

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 74054 and 74070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74054 and 74070, than apply into the LCM equation.

GCF(74054,74070) = 2
LCM(74054,74070) = ( 74054 × 74070) / 2
LCM(74054,74070) = 5485179780 / 2
LCM(74054,74070) = 2742589890

Least Common Multiple (LCM) of 74054 and 74070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74054 and 74070. First we will calculate the prime factors of 74054 and 74070.

Prime Factorization of 74054

Prime Factorization of 74070

Now multiplying the highest exponent prime factors to calculate the LCM of 74054 and 74070.

LCM(74054,74070) = 2¹ × 61¹ × 607¹ × 3² × 5¹ × 823¹
LCM(74054,74070) = 2742589890