What is the Least Common Multiple of 71685 and 71693?

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 71685 and 71693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71685 and 71693, than apply into the LCM equation.

GCF(71685,71693) = 1
LCM(71685,71693) = ( 71685 × 71693) / 1
LCM(71685,71693) = 5139312705 / 1
LCM(71685,71693) = 5139312705

Least Common Multiple (LCM) of 71685 and 71693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71685 and 71693. First we will calculate the prime factors of 71685 and 71693.

Prime Factorization of 71685

Prime Factorization of 71693

Now multiplying the highest exponent prime factors to calculate the LCM of 71685 and 71693.

LCM(71685,71693) = 3⁵ × 5¹ × 59¹ × 71693¹
LCM(71685,71693) = 5139312705