What is the Least Common Multiple of 77360 and 77374?

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 77360 and 77374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77360 and 77374, than apply into the LCM equation.

GCF(77360,77374) = 2
LCM(77360,77374) = ( 77360 × 77374) / 2
LCM(77360,77374) = 5985652640 / 2
LCM(77360,77374) = 2992826320

Least Common Multiple (LCM) of 77360 and 77374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77360 and 77374. First we will calculate the prime factors of 77360 and 77374.

Prime Factorization of 77360

Prime Factorization of 77374

Now multiplying the highest exponent prime factors to calculate the LCM of 77360 and 77374.

LCM(77360,77374) = 2⁴ × 5¹ × 967¹ × 11¹ × 3517¹
LCM(77360,77374) = 2992826320