What is the Least Common Multiple of 61712 and 61718?
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 61712 and 61718 is 1904370608.
LCM(61712,61718) = 1904370608
Least Common Multiple of 61712 and 61718 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61712 and 61718, than apply into the LCM equation.
GCF(61712,61718) = 2
LCM(61712,61718) = ( 61712 × 61718) / 2
LCM(61712,61718) = 3808741216 / 2
LCM(61712,61718) = 1904370608
Least Common Multiple (LCM) of 61712 and 61718 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61712 and 61718. First we will calculate the prime factors of 61712 and 61718.
Prime Factorization of 61712
Prime factors of 61712 are 2, 7, 19, 29. Prime factorization of 61712 in exponential form is:
61712 = 24 × 71 × 191 × 291
Prime Factorization of 61718
Prime factors of 61718 are 2, 30859. Prime factorization of 61718 in exponential form is:
61718 = 21 × 308591
Now multiplying the highest exponent prime factors to calculate the LCM of 61712 and 61718.
LCM(61712,61718) = 24 × 71 × 191 × 291 × 308591
LCM(61712,61718) = 1904370608
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