What is the Least Common Multiple of 75369 and 75374?

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 75369 and 75374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75369 and 75374, than apply into the LCM equation.

GCF(75369,75374) = 1
LCM(75369,75374) = ( 75369 × 75374) / 1
LCM(75369,75374) = 5680863006 / 1
LCM(75369,75374) = 5680863006

Least Common Multiple (LCM) of 75369 and 75374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75369 and 75374. First we will calculate the prime factors of 75369 and 75374.

Prime Factorization of 75369

Prime Factorization of 75374

Now multiplying the highest exponent prime factors to calculate the LCM of 75369 and 75374.

LCM(75369,75374) = 3¹ × 7¹ × 37¹ × 97¹ × 2¹ × 13² × 223¹
LCM(75369,75374) = 5680863006