What is the Least Common Multiple of 72274 and 72294?

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 72274 and 72294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72274 and 72294, than apply into the LCM equation.

GCF(72274,72294) = 2
LCM(72274,72294) = ( 72274 × 72294) / 2
LCM(72274,72294) = 5224976556 / 2
LCM(72274,72294) = 2612488278

Least Common Multiple (LCM) of 72274 and 72294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72274 and 72294. First we will calculate the prime factors of 72274 and 72294.

Prime Factorization of 72274

Prime Factorization of 72294

Now multiplying the highest exponent prime factors to calculate the LCM of 72274 and 72294.

LCM(72274,72294) = 2¹ × 36137¹ × 3¹ × 12049¹
LCM(72274,72294) = 2612488278