What is the Least Common Multiple of 61360 and 61374?

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 61360 and 61374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61360 and 61374, than apply into the LCM equation.

GCF(61360,61374) = 2
LCM(61360,61374) = ( 61360 × 61374) / 2
LCM(61360,61374) = 3765908640 / 2
LCM(61360,61374) = 1882954320

Least Common Multiple (LCM) of 61360 and 61374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61360 and 61374. First we will calculate the prime factors of 61360 and 61374.

Prime Factorization of 61360

Prime Factorization of 61374

Now multiplying the highest exponent prime factors to calculate the LCM of 61360 and 61374.

LCM(61360,61374) = 2⁴ × 5¹ × 13¹ × 59¹ × 3¹ × 53¹ × 193¹
LCM(61360,61374) = 1882954320