What is the Least Common Multiple of 32695 and 32702?

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 32695 and 32702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32695 and 32702, than apply into the LCM equation.

GCF(32695,32702) = 1
LCM(32695,32702) = ( 32695 × 32702) / 1
LCM(32695,32702) = 1069191890 / 1
LCM(32695,32702) = 1069191890

Least Common Multiple (LCM) of 32695 and 32702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32695 and 32702. First we will calculate the prime factors of 32695 and 32702.

Prime Factorization of 32695

Prime Factorization of 32702

Now multiplying the highest exponent prime factors to calculate the LCM of 32695 and 32702.

LCM(32695,32702) = 5¹ × 13¹ × 503¹ × 2¹ × 83¹ × 197¹
LCM(32695,32702) = 1069191890