What is the Least Common Multiple of 89580 and 89596?

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 89580 and 89596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89580 and 89596, than apply into the LCM equation.

GCF(89580,89596) = 4
LCM(89580,89596) = ( 89580 × 89596) / 4
LCM(89580,89596) = 8026009680 / 4
LCM(89580,89596) = 2006502420

Least Common Multiple (LCM) of 89580 and 89596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89580 and 89596. First we will calculate the prime factors of 89580 and 89596.

Prime Factorization of 89580

Prime Factorization of 89596

Now multiplying the highest exponent prime factors to calculate the LCM of 89580 and 89596.

LCM(89580,89596) = 2² × 3¹ × 5¹ × 1493¹ × 13¹ × 1723¹
LCM(89580,89596) = 2006502420