What is the Least Common Multiple of 59820 and 59836?

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 59820 and 59836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59820 and 59836, than apply into the LCM equation.

GCF(59820,59836) = 4
LCM(59820,59836) = ( 59820 × 59836) / 4
LCM(59820,59836) = 3579389520 / 4
LCM(59820,59836) = 894847380

Least Common Multiple (LCM) of 59820 and 59836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59820 and 59836. First we will calculate the prime factors of 59820 and 59836.

Prime Factorization of 59820

Prime Factorization of 59836

Now multiplying the highest exponent prime factors to calculate the LCM of 59820 and 59836.

LCM(59820,59836) = 2² × 3¹ × 5¹ × 997¹ × 7¹ × 2137¹
LCM(59820,59836) = 894847380