What is the Least Common Multiple of 89678 and 89698?

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 89678 and 89698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89678 and 89698, than apply into the LCM equation.

GCF(89678,89698) = 2
LCM(89678,89698) = ( 89678 × 89698) / 2
LCM(89678,89698) = 8043937244 / 2
LCM(89678,89698) = 4021968622

Least Common Multiple (LCM) of 89678 and 89698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89678 and 89698. First we will calculate the prime factors of 89678 and 89698.

Prime Factorization of 89678

Prime Factorization of 89698

Now multiplying the highest exponent prime factors to calculate the LCM of 89678 and 89698.

LCM(89678,89698) = 2¹ × 44839¹ × 7¹ × 43¹ × 149¹
LCM(89678,89698) = 4021968622