What is the Least Common Multiple of 59480 and 59486?

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 59480 and 59486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59480 and 59486, than apply into the LCM equation.

GCF(59480,59486) = 2
LCM(59480,59486) = ( 59480 × 59486) / 2
LCM(59480,59486) = 3538227280 / 2
LCM(59480,59486) = 1769113640

Least Common Multiple (LCM) of 59480 and 59486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59480 and 59486. First we will calculate the prime factors of 59480 and 59486.

Prime Factorization of 59480

Prime Factorization of 59486

Now multiplying the highest exponent prime factors to calculate the LCM of 59480 and 59486.

LCM(59480,59486) = 2³ × 5¹ × 1487¹ × 7² × 607¹
LCM(59480,59486) = 1769113640