What is the Least Common Multiple of 88620 and 88630?

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 88620 and 88630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88620 and 88630, than apply into the LCM equation.

GCF(88620,88630) = 10
LCM(88620,88630) = ( 88620 × 88630) / 10
LCM(88620,88630) = 7854390600 / 10
LCM(88620,88630) = 785439060

Least Common Multiple (LCM) of 88620 and 88630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88620 and 88630. First we will calculate the prime factors of 88620 and 88630.

Prime Factorization of 88620

Prime Factorization of 88630

Now multiplying the highest exponent prime factors to calculate the LCM of 88620 and 88630.

LCM(88620,88630) = 2² × 3¹ × 5¹ × 7¹ × 211¹ × 8863¹
LCM(88620,88630) = 785439060