What is the Least Common Multiple of 64553 and 64562?
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 64553 and 64562 is 4167670786.
LCM(64553,64562) = 4167670786
Least Common Multiple of 64553 and 64562 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64553 and 64562, than apply into the LCM equation.
GCF(64553,64562) = 1
LCM(64553,64562) = ( 64553 × 64562) / 1
LCM(64553,64562) = 4167670786 / 1
LCM(64553,64562) = 4167670786
Least Common Multiple (LCM) of 64553 and 64562 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64553 and 64562. First we will calculate the prime factors of 64553 and 64562.
Prime Factorization of 64553
Prime factors of 64553 are 64553. Prime factorization of 64553 in exponential form is:
64553 = 645531
Prime Factorization of 64562
Prime factors of 64562 are 2, 19, 1699. Prime factorization of 64562 in exponential form is:
64562 = 21 × 191 × 16991
Now multiplying the highest exponent prime factors to calculate the LCM of 64553 and 64562.
LCM(64553,64562) = 645531 × 21 × 191 × 16991
LCM(64553,64562) = 4167670786
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