What is the Least Common Multiple of 59720 and 59734?

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 59720 and 59734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59720 and 59734, than apply into the LCM equation.

GCF(59720,59734) = 2
LCM(59720,59734) = ( 59720 × 59734) / 2
LCM(59720,59734) = 3567314480 / 2
LCM(59720,59734) = 1783657240

Least Common Multiple (LCM) of 59720 and 59734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59720 and 59734. First we will calculate the prime factors of 59720 and 59734.

Prime Factorization of 59720

Prime Factorization of 59734

Now multiplying the highest exponent prime factors to calculate the LCM of 59720 and 59734.

LCM(59720,59734) = 2³ × 5¹ × 1493¹ × 29867¹
LCM(59720,59734) = 1783657240