What is the Least Common Multiple of 63719 and 63739?
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 63719 and 63739 is 4061385341.
LCM(63719,63739) = 4061385341
Least Common Multiple of 63719 and 63739 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63719 and 63739, than apply into the LCM equation.
GCF(63719,63739) = 1
LCM(63719,63739) = ( 63719 × 63739) / 1
LCM(63719,63739) = 4061385341 / 1
LCM(63719,63739) = 4061385341
Least Common Multiple (LCM) of 63719 and 63739 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63719 and 63739. First we will calculate the prime factors of 63719 and 63739.
Prime Factorization of 63719
Prime factors of 63719 are 63719. Prime factorization of 63719 in exponential form is:
63719 = 637191
Prime Factorization of 63739
Prime factors of 63739 are 13, 4903. Prime factorization of 63739 in exponential form is:
63739 = 131 × 49031
Now multiplying the highest exponent prime factors to calculate the LCM of 63719 and 63739.
LCM(63719,63739) = 637191 × 131 × 49031
LCM(63719,63739) = 4061385341
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