What is the Least Common Multiple of 64450 and 64455?

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 64450 and 64455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64450 and 64455, than apply into the LCM equation.

GCF(64450,64455) = 5
LCM(64450,64455) = ( 64450 × 64455) / 5
LCM(64450,64455) = 4154124750 / 5
LCM(64450,64455) = 830824950

Least Common Multiple (LCM) of 64450 and 64455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64450 and 64455. First we will calculate the prime factors of 64450 and 64455.

Prime Factorization of 64450

Prime Factorization of 64455

Now multiplying the highest exponent prime factors to calculate the LCM of 64450 and 64455.

LCM(64450,64455) = 2¹ × 5² × 1289¹ × 3¹ × 4297¹
LCM(64450,64455) = 830824950