What is the Least Common Multiple of 43695 and 43715?
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 43695 and 43715 is 382025385.
LCM(43695,43715) = 382025385
Least Common Multiple of 43695 and 43715 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43695 and 43715, than apply into the LCM equation.
GCF(43695,43715) = 5
LCM(43695,43715) = ( 43695 × 43715) / 5
LCM(43695,43715) = 1910126925 / 5
LCM(43695,43715) = 382025385
Least Common Multiple (LCM) of 43695 and 43715 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43695 and 43715. First we will calculate the prime factors of 43695 and 43715.
Prime Factorization of 43695
Prime factors of 43695 are 3, 5, 971. Prime factorization of 43695 in exponential form is:
43695 = 32 × 51 × 9711
Prime Factorization of 43715
Prime factors of 43715 are 5, 7, 1249. Prime factorization of 43715 in exponential form is:
43715 = 51 × 71 × 12491
Now multiplying the highest exponent prime factors to calculate the LCM of 43695 and 43715.
LCM(43695,43715) = 32 × 51 × 9711 × 71 × 12491
LCM(43695,43715) = 382025385
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