What is the Least Common Multiple of 66354 and 66374?

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 66374 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 66374, than apply into the LCM equation.

GCF(66354,66374) = 2
LCM(66354,66374) = ( 66354 × 66374) / 2
LCM(66354,66374) = 4404180396 / 2
LCM(66354,66374) = 2202090198

Least Common Multiple (LCM) of 66354 and 66374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66354 and 66374. First we will calculate the prime factors of 66354 and 66374.

Prime Factorization of 66354

Prime Factorization of 66374

Now multiplying the highest exponent prime factors to calculate the LCM of 66354 and 66374.

LCM(66354,66374) = 2¹ × 3¹ × 11059¹ × 7¹ × 11¹ × 431¹
LCM(66354,66374) = 2202090198