What is the Least Common Multiple of 55926 and 55945?

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 55926 and 55945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55926 and 55945, than apply into the LCM equation.

GCF(55926,55945) = 1
LCM(55926,55945) = ( 55926 × 55945) / 1
LCM(55926,55945) = 3128780070 / 1
LCM(55926,55945) = 3128780070

Least Common Multiple (LCM) of 55926 and 55945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55926 and 55945. First we will calculate the prime factors of 55926 and 55945.

Prime Factorization of 55926

Prime Factorization of 55945

Now multiplying the highest exponent prime factors to calculate the LCM of 55926 and 55945.

LCM(55926,55945) = 2¹ × 3² × 13¹ × 239¹ × 5¹ × 67¹ × 167¹
LCM(55926,55945) = 3128780070