What is the Least Common Multiple of 90034 and 90052?

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 90034 and 90052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90034 and 90052, than apply into the LCM equation.

GCF(90034,90052) = 2
LCM(90034,90052) = ( 90034 × 90052) / 2
LCM(90034,90052) = 8107741768 / 2
LCM(90034,90052) = 4053870884

Least Common Multiple (LCM) of 90034 and 90052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90034 and 90052. First we will calculate the prime factors of 90034 and 90052.

Prime Factorization of 90034

Prime Factorization of 90052

Now multiplying the highest exponent prime factors to calculate the LCM of 90034 and 90052.

LCM(90034,90052) = 2² × 7¹ × 59¹ × 109¹ × 47¹ × 479¹
LCM(90034,90052) = 4053870884