What is the Least Common Multiple of 67710 and 67729?

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 67710 and 67729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67710 and 67729, than apply into the LCM equation.

GCF(67710,67729) = 1
LCM(67710,67729) = ( 67710 × 67729) / 1
LCM(67710,67729) = 4585930590 / 1
LCM(67710,67729) = 4585930590

Least Common Multiple (LCM) of 67710 and 67729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67710 and 67729. First we will calculate the prime factors of 67710 and 67729.

Prime Factorization of 67710

Prime Factorization of 67729

Now multiplying the highest exponent prime factors to calculate the LCM of 67710 and 67729.

LCM(67710,67729) = 2¹ × 3¹ × 5¹ × 37¹ × 61¹ × 89¹ × 761¹
LCM(67710,67729) = 4585930590