What is the Least Common Multiple of 93561 and 93574?

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 93561 and 93574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93561 and 93574, than apply into the LCM equation.

GCF(93561,93574) = 13
LCM(93561,93574) = ( 93561 × 93574) / 13
LCM(93561,93574) = 8754877014 / 13
LCM(93561,93574) = 673452078

Least Common Multiple (LCM) of 93561 and 93574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93561 and 93574. First we will calculate the prime factors of 93561 and 93574.

Prime Factorization of 93561

Prime Factorization of 93574

Now multiplying the highest exponent prime factors to calculate the LCM of 93561 and 93574.

LCM(93561,93574) = 3¹ × 13¹ × 2399¹ × 2¹ × 59¹ × 61¹
LCM(93561,93574) = 673452078