What is the Least Common Multiple of 39677 and 39693?
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 39677 and 39693 is 1574899161.
LCM(39677,39693) = 1574899161
Least Common Multiple of 39677 and 39693 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39677 and 39693, than apply into the LCM equation.
GCF(39677,39693) = 1
LCM(39677,39693) = ( 39677 × 39693) / 1
LCM(39677,39693) = 1574899161 / 1
LCM(39677,39693) = 1574899161
Least Common Multiple (LCM) of 39677 and 39693 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39677 and 39693. First we will calculate the prime factors of 39677 and 39693.
Prime Factorization of 39677
Prime factors of 39677 are 11, 3607. Prime factorization of 39677 in exponential form is:
39677 = 111 × 36071
Prime Factorization of 39693
Prime factors of 39693 are 3, 101, 131. Prime factorization of 39693 in exponential form is:
39693 = 31 × 1011 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 39677 and 39693.
LCM(39677,39693) = 111 × 36071 × 31 × 1011 × 1311
LCM(39677,39693) = 1574899161
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