What is the Least Common Multiple of 34890 and 34894?

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 34890 and 34894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34890 and 34894, than apply into the LCM equation.

GCF(34890,34894) = 2
LCM(34890,34894) = ( 34890 × 34894) / 2
LCM(34890,34894) = 1217451660 / 2
LCM(34890,34894) = 608725830

Least Common Multiple (LCM) of 34890 and 34894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34890 and 34894. First we will calculate the prime factors of 34890 and 34894.

Prime Factorization of 34890

Prime Factorization of 34894

Now multiplying the highest exponent prime factors to calculate the LCM of 34890 and 34894.

LCM(34890,34894) = 2¹ × 3¹ × 5¹ × 1163¹ × 73¹ × 239¹
LCM(34890,34894) = 608725830