What is the Least Common Multiple of 59784 and 59796?

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 59784 and 59796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59784 and 59796, than apply into the LCM equation.

GCF(59784,59796) = 12
LCM(59784,59796) = ( 59784 × 59796) / 12
LCM(59784,59796) = 3574844064 / 12
LCM(59784,59796) = 297903672

Least Common Multiple (LCM) of 59784 and 59796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59784 and 59796. First we will calculate the prime factors of 59784 and 59796.

Prime Factorization of 59784

Prime Factorization of 59796

Now multiplying the highest exponent prime factors to calculate the LCM of 59784 and 59796.

LCM(59784,59796) = 2³ × 3² × 47¹ × 53¹ × 11¹ × 151¹
LCM(59784,59796) = 297903672