What is the Least Common Multiple of 64538 and 64555?
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 64538 and 64555 is 4166250590.
LCM(64538,64555) = 4166250590
Least Common Multiple of 64538 and 64555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64538 and 64555, than apply into the LCM equation.
GCF(64538,64555) = 1
LCM(64538,64555) = ( 64538 × 64555) / 1
LCM(64538,64555) = 4166250590 / 1
LCM(64538,64555) = 4166250590
Least Common Multiple (LCM) of 64538 and 64555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64538 and 64555. First we will calculate the prime factors of 64538 and 64555.
Prime Factorization of 64538
Prime factors of 64538 are 2, 23, 61. Prime factorization of 64538 in exponential form is:
64538 = 21 × 232 × 611
Prime Factorization of 64555
Prime factors of 64555 are 5, 12911. Prime factorization of 64555 in exponential form is:
64555 = 51 × 129111
Now multiplying the highest exponent prime factors to calculate the LCM of 64538 and 64555.
LCM(64538,64555) = 21 × 232 × 611 × 51 × 129111
LCM(64538,64555) = 4166250590
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