What is the Least Common Multiple of 88370 and 88385?

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 88370 and 88385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88370 and 88385, than apply into the LCM equation.

GCF(88370,88385) = 5
LCM(88370,88385) = ( 88370 × 88385) / 5
LCM(88370,88385) = 7810582450 / 5
LCM(88370,88385) = 1562116490

Least Common Multiple (LCM) of 88370 and 88385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88370 and 88385. First we will calculate the prime factors of 88370 and 88385.

Prime Factorization of 88370

Prime Factorization of 88385

Now multiplying the highest exponent prime factors to calculate the LCM of 88370 and 88385.

LCM(88370,88385) = 2¹ × 5¹ × 8837¹ × 11¹ × 1607¹
LCM(88370,88385) = 1562116490