What is the Least Common Multiple of 66354 and 66370?

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 66354 and 66370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66354 and 66370, than apply into the LCM equation.

GCF(66354,66370) = 2
LCM(66354,66370) = ( 66354 × 66370) / 2
LCM(66354,66370) = 4403914980 / 2
LCM(66354,66370) = 2201957490

Least Common Multiple (LCM) of 66354 and 66370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66354 and 66370. First we will calculate the prime factors of 66354 and 66370.

Prime Factorization of 66354

Prime Factorization of 66370

Now multiplying the highest exponent prime factors to calculate the LCM of 66354 and 66370.

LCM(66354,66370) = 2¹ × 3¹ × 11059¹ × 5¹ × 6637¹
LCM(66354,66370) = 2201957490