What is the Least Common Multiple of 64436 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 (LCM) of 64436 and 64455 is 4153222380.
LCM(64436,64455) = 4153222380
Least Common Multiple of 64436 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 64436 and 64455, than apply into the LCM equation.
GCF(64436,64455) = 1
LCM(64436,64455) = ( 64436 × 64455) / 1
LCM(64436,64455) = 4153222380 / 1
LCM(64436,64455) = 4153222380
Least Common Multiple (LCM) of 64436 and 64455 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64436 and 64455. First we will calculate the prime factors of 64436 and 64455.
Prime Factorization of 64436
Prime factors of 64436 are 2, 89, 181. Prime factorization of 64436 in exponential form is:
64436 = 22 × 891 × 1811
Prime Factorization of 64455
Prime factors of 64455 are 3, 5, 4297. Prime factorization of 64455 in exponential form is:
64455 = 31 × 51 × 42971
Now multiplying the highest exponent prime factors to calculate the LCM of 64436 and 64455.
LCM(64436,64455) = 22 × 891 × 1811 × 31 × 51 × 42971
LCM(64436,64455) = 4153222380
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