What is the Least Common Multiple of 74730 and 74742?

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 74730 and 74742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74730 and 74742, than apply into the LCM equation.

GCF(74730,74742) = 6
LCM(74730,74742) = ( 74730 × 74742) / 6
LCM(74730,74742) = 5585469660 / 6
LCM(74730,74742) = 930911610

Least Common Multiple (LCM) of 74730 and 74742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74730 and 74742. First we will calculate the prime factors of 74730 and 74742.

Prime Factorization of 74730

Prime Factorization of 74742

Now multiplying the highest exponent prime factors to calculate the LCM of 74730 and 74742.

LCM(74730,74742) = 2¹ × 3¹ × 5¹ × 47¹ × 53¹ × 12457¹
LCM(74730,74742) = 930911610