What is the Least Common Multiple of 72238 and 72254?

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 72238 and 72254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72238 and 72254, than apply into the LCM equation.

GCF(72238,72254) = 2
LCM(72238,72254) = ( 72238 × 72254) / 2
LCM(72238,72254) = 5219484452 / 2
LCM(72238,72254) = 2609742226

Least Common Multiple (LCM) of 72238 and 72254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72238 and 72254. First we will calculate the prime factors of 72238 and 72254.

Prime Factorization of 72238

Prime Factorization of 72254

Now multiplying the highest exponent prime factors to calculate the LCM of 72238 and 72254.

LCM(72238,72254) = 2¹ × 19¹ × 1901¹ × 7¹ × 13¹ × 397¹
LCM(72238,72254) = 2609742226