What is the Least Common Multiple of 63081 and 63088?
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 63081 and 63088 is 3979654128.
LCM(63081,63088) = 3979654128
Least Common Multiple of 63081 and 63088 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63081 and 63088, than apply into the LCM equation.
GCF(63081,63088) = 1
LCM(63081,63088) = ( 63081 × 63088) / 1
LCM(63081,63088) = 3979654128 / 1
LCM(63081,63088) = 3979654128
Least Common Multiple (LCM) of 63081 and 63088 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63081 and 63088. First we will calculate the prime factors of 63081 and 63088.
Prime Factorization of 63081
Prime factors of 63081 are 3, 43, 163. Prime factorization of 63081 in exponential form is:
63081 = 32 × 431 × 1631
Prime Factorization of 63088
Prime factors of 63088 are 2, 3943. Prime factorization of 63088 in exponential form is:
63088 = 24 × 39431
Now multiplying the highest exponent prime factors to calculate the LCM of 63081 and 63088.
LCM(63081,63088) = 32 × 431 × 1631 × 24 × 39431
LCM(63081,63088) = 3979654128
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