What is the Least Common Multiple of 89940 and 89954?

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 89940 and 89954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89940 and 89954, than apply into the LCM equation.

GCF(89940,89954) = 2
LCM(89940,89954) = ( 89940 × 89954) / 2
LCM(89940,89954) = 8090462760 / 2
LCM(89940,89954) = 4045231380

Least Common Multiple (LCM) of 89940 and 89954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89940 and 89954. First we will calculate the prime factors of 89940 and 89954.

Prime Factorization of 89940

Prime Factorization of 89954

Now multiplying the highest exponent prime factors to calculate the LCM of 89940 and 89954.

LCM(89940,89954) = 2² × 3¹ × 5¹ × 1499¹ × 41¹ × 1097¹
LCM(89940,89954) = 4045231380