What is the Least Common Multiple of 64420 and 64437?
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 64420 and 64437 is 4151031540.
LCM(64420,64437) = 4151031540
Least Common Multiple of 64420 and 64437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64420 and 64437, than apply into the LCM equation.
GCF(64420,64437) = 1
LCM(64420,64437) = ( 64420 × 64437) / 1
LCM(64420,64437) = 4151031540 / 1
LCM(64420,64437) = 4151031540
Least Common Multiple (LCM) of 64420 and 64437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64420 and 64437. First we will calculate the prime factors of 64420 and 64437.
Prime Factorization of 64420
Prime factors of 64420 are 2, 5, 3221. Prime factorization of 64420 in exponential form is:
64420 = 22 × 51 × 32211
Prime Factorization of 64437
Prime factors of 64437 are 3, 47, 457. Prime factorization of 64437 in exponential form is:
64437 = 31 × 471 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 64420 and 64437.
LCM(64420,64437) = 22 × 51 × 32211 × 31 × 471 × 4571
LCM(64420,64437) = 4151031540
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