What is the Least Common Multiple of 59649 and 59668?

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 59649 and 59668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59649 and 59668, than apply into the LCM equation.

GCF(59649,59668) = 1
LCM(59649,59668) = ( 59649 × 59668) / 1
LCM(59649,59668) = 3559136532 / 1
LCM(59649,59668) = 3559136532

Least Common Multiple (LCM) of 59649 and 59668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59649 and 59668. First we will calculate the prime factors of 59649 and 59668.

Prime Factorization of 59649

Prime Factorization of 59668

Now multiplying the highest exponent prime factors to calculate the LCM of 59649 and 59668.

LCM(59649,59668) = 3¹ × 59¹ × 337¹ × 2² × 7¹ × 2131¹
LCM(59649,59668) = 3559136532