What is the Least Common Multiple of 59658 and 59669?

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 59658 and 59669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59658 and 59669, than apply into the LCM equation.

GCF(59658,59669) = 1
LCM(59658,59669) = ( 59658 × 59669) / 1
LCM(59658,59669) = 3559733202 / 1
LCM(59658,59669) = 3559733202

Least Common Multiple (LCM) of 59658 and 59669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59658 and 59669. First we will calculate the prime factors of 59658 and 59669.

Prime Factorization of 59658

Prime Factorization of 59669

Now multiplying the highest exponent prime factors to calculate the LCM of 59658 and 59669.

LCM(59658,59669) = 2¹ × 3¹ × 61¹ × 163¹ × 59669¹
LCM(59658,59669) = 3559733202