What is the Least Common Multiple of 85926 and 85945?

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 85926 and 85945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85926 and 85945, than apply into the LCM equation.

GCF(85926,85945) = 1
LCM(85926,85945) = ( 85926 × 85945) / 1
LCM(85926,85945) = 7384910070 / 1
LCM(85926,85945) = 7384910070

Least Common Multiple (LCM) of 85926 and 85945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85926 and 85945. First we will calculate the prime factors of 85926 and 85945.

Prime Factorization of 85926

Prime Factorization of 85945

Now multiplying the highest exponent prime factors to calculate the LCM of 85926 and 85945.

LCM(85926,85945) = 2¹ × 3¹ × 14321¹ × 5¹ × 17189¹
LCM(85926,85945) = 7384910070