What is the Least Common Multiple of 59684 and 59690?

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 59690 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 59690, than apply into the LCM equation.

GCF(59684,59690) = 2
LCM(59684,59690) = ( 59684 × 59690) / 2
LCM(59684,59690) = 3562537960 / 2
LCM(59684,59690) = 1781268980

Least Common Multiple (LCM) of 59684 and 59690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59684 and 59690. First we will calculate the prime factors of 59684 and 59690.

Prime Factorization of 59684

Prime Factorization of 59690

Now multiplying the highest exponent prime factors to calculate the LCM of 59684 and 59690.

LCM(59684,59690) = 2² × 43¹ × 347¹ × 5¹ × 47¹ × 127¹
LCM(59684,59690) = 1781268980