What is the Least Common Multiple of 22926 and 22945?

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 22926 and 22945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22926 and 22945, than apply into the LCM equation.

GCF(22926,22945) = 1
LCM(22926,22945) = ( 22926 × 22945) / 1
LCM(22926,22945) = 526037070 / 1
LCM(22926,22945) = 526037070

Least Common Multiple (LCM) of 22926 and 22945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22926 and 22945. First we will calculate the prime factors of 22926 and 22945.

Prime Factorization of 22926

Prime Factorization of 22945

Now multiplying the highest exponent prime factors to calculate the LCM of 22926 and 22945.

LCM(22926,22945) = 2¹ × 3¹ × 3821¹ × 5¹ × 13¹ × 353¹
LCM(22926,22945) = 526037070