What is the Least Common Multiple of 64685 and 64693?

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 64685 and 64693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64685 and 64693, than apply into the LCM equation.

GCF(64685,64693) = 1
LCM(64685,64693) = ( 64685 × 64693) / 1
LCM(64685,64693) = 4184666705 / 1
LCM(64685,64693) = 4184666705

Least Common Multiple (LCM) of 64685 and 64693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64685 and 64693. First we will calculate the prime factors of 64685 and 64693.

Prime Factorization of 64685

Prime Factorization of 64693

Now multiplying the highest exponent prime factors to calculate the LCM of 64685 and 64693.

LCM(64685,64693) = 5¹ × 17¹ × 761¹ × 64693¹
LCM(64685,64693) = 4184666705