What is the Least Common Multiple of 73698 and 73703?

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 73698 and 73703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73698 and 73703, than apply into the LCM equation.

GCF(73698,73703) = 1
LCM(73698,73703) = ( 73698 × 73703) / 1
LCM(73698,73703) = 5431763694 / 1
LCM(73698,73703) = 5431763694

Least Common Multiple (LCM) of 73698 and 73703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73698 and 73703. First we will calculate the prime factors of 73698 and 73703.

Prime Factorization of 73698

Prime Factorization of 73703

Now multiplying the highest exponent prime factors to calculate the LCM of 73698 and 73703.

LCM(73698,73703) = 2¹ × 3¹ × 71¹ × 173¹ × 7¹ × 10529¹
LCM(73698,73703) = 5431763694