What is the Least Common Multiple of 60366 and 60374?

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 60366 and 60374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60366 and 60374, than apply into the LCM equation.

GCF(60366,60374) = 2
LCM(60366,60374) = ( 60366 × 60374) / 2
LCM(60366,60374) = 3644536884 / 2
LCM(60366,60374) = 1822268442

Least Common Multiple (LCM) of 60366 and 60374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60366 and 60374. First we will calculate the prime factors of 60366 and 60374.

Prime Factorization of 60366

Prime Factorization of 60374

Now multiplying the highest exponent prime factors to calculate the LCM of 60366 and 60374.

LCM(60366,60374) = 2¹ × 3¹ × 10061¹ × 30187¹
LCM(60366,60374) = 1822268442