What is the Least Common Multiple of 59684 and 59689?

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 59684 and 59689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59684 and 59689, than apply into the LCM equation.

GCF(59684,59689) = 1
LCM(59684,59689) = ( 59684 × 59689) / 1
LCM(59684,59689) = 3562478276 / 1
LCM(59684,59689) = 3562478276

Least Common Multiple (LCM) of 59684 and 59689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59684 and 59689. First we will calculate the prime factors of 59684 and 59689.

Prime Factorization of 59684

Prime Factorization of 59689

Now multiplying the highest exponent prime factors to calculate the LCM of 59684 and 59689.

LCM(59684,59689) = 2² × 43¹ × 347¹ × 7¹ × 8527¹
LCM(59684,59689) = 3562478276