What is the Least Common Multiple of 89930 and 89945?

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 89930 and 89945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89930 and 89945, than apply into the LCM equation.

GCF(89930,89945) = 5
LCM(89930,89945) = ( 89930 × 89945) / 5
LCM(89930,89945) = 8088753850 / 5
LCM(89930,89945) = 1617750770

Least Common Multiple (LCM) of 89930 and 89945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89930 and 89945. First we will calculate the prime factors of 89930 and 89945.

Prime Factorization of 89930

Prime Factorization of 89945

Now multiplying the highest exponent prime factors to calculate the LCM of 89930 and 89945.

LCM(89930,89945) = 2¹ × 5¹ × 17¹ × 23² × 17989¹
LCM(89930,89945) = 1617750770