What is the Least Common Multiple of 59620 and 59630?

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 59620 and 59630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59620 and 59630, than apply into the LCM equation.

GCF(59620,59630) = 10
LCM(59620,59630) = ( 59620 × 59630) / 10
LCM(59620,59630) = 3555140600 / 10
LCM(59620,59630) = 355514060

Least Common Multiple (LCM) of 59620 and 59630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59620 and 59630. First we will calculate the prime factors of 59620 and 59630.

Prime Factorization of 59620

Prime Factorization of 59630

Now multiplying the highest exponent prime factors to calculate the LCM of 59620 and 59630.

LCM(59620,59630) = 2² × 5¹ × 11¹ × 271¹ × 67¹ × 89¹
LCM(59620,59630) = 355514060