What is the Least Common Multiple of 88692 and 88703?

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 88692 and 88703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88692 and 88703, than apply into the LCM equation.

GCF(88692,88703) = 1
LCM(88692,88703) = ( 88692 × 88703) / 1
LCM(88692,88703) = 7867246476 / 1
LCM(88692,88703) = 7867246476

Least Common Multiple (LCM) of 88692 and 88703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88692 and 88703. First we will calculate the prime factors of 88692 and 88703.

Prime Factorization of 88692

Prime Factorization of 88703

Now multiplying the highest exponent prime factors to calculate the LCM of 88692 and 88703.

LCM(88692,88703) = 2² × 3¹ × 19¹ × 389¹ × 107¹ × 829¹
LCM(88692,88703) = 7867246476