What is the Least Common Multiple of 93621 and 93625?
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 93621 and 93625 is 8765266125.
LCM(93621,93625) = 8765266125
Least Common Multiple of 93621 and 93625 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93621 and 93625, than apply into the LCM equation.
GCF(93621,93625) = 1
LCM(93621,93625) = ( 93621 × 93625) / 1
LCM(93621,93625) = 8765266125 / 1
LCM(93621,93625) = 8765266125
Least Common Multiple (LCM) of 93621 and 93625 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93621 and 93625. First we will calculate the prime factors of 93621 and 93625.
Prime Factorization of 93621
Prime factors of 93621 are 3, 11, 2837. Prime factorization of 93621 in exponential form is:
93621 = 31 × 111 × 28371
Prime Factorization of 93625
Prime factors of 93625 are 5, 7, 107. Prime factorization of 93625 in exponential form is:
93625 = 53 × 71 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 93621 and 93625.
LCM(93621,93625) = 31 × 111 × 28371 × 53 × 71 × 1071
LCM(93621,93625) = 8765266125
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