What is the Least Common Multiple of 64438 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 64438 and 64455 is 4153351290.
LCM(64438,64455) = 4153351290
Least Common Multiple of 64438 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 64438 and 64455, than apply into the LCM equation.
GCF(64438,64455) = 1
LCM(64438,64455) = ( 64438 × 64455) / 1
LCM(64438,64455) = 4153351290 / 1
LCM(64438,64455) = 4153351290
Least Common Multiple (LCM) of 64438 and 64455 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64438 and 64455. First we will calculate the prime factors of 64438 and 64455.
Prime Factorization of 64438
Prime factors of 64438 are 2, 11, 29, 101. Prime factorization of 64438 in exponential form is:
64438 = 21 × 111 × 291 × 1011
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 64438 and 64455.
LCM(64438,64455) = 21 × 111 × 291 × 1011 × 31 × 51 × 42971
LCM(64438,64455) = 4153351290
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