What is the Least Common Multiple of 89540 and 89558?

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 89540 and 89558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89540 and 89558, than apply into the LCM equation.

GCF(89540,89558) = 2
LCM(89540,89558) = ( 89540 × 89558) / 2
LCM(89540,89558) = 8019023320 / 2
LCM(89540,89558) = 4009511660

Least Common Multiple (LCM) of 89540 and 89558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89540 and 89558. First we will calculate the prime factors of 89540 and 89558.

Prime Factorization of 89540

Prime Factorization of 89558

Now multiplying the highest exponent prime factors to calculate the LCM of 89540 and 89558.

LCM(89540,89558) = 2² × 5¹ × 11² × 37¹ × 7¹ × 6397¹
LCM(89540,89558) = 4009511660