What is the Least Common Multiple of 77203 and 77215?
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 77203 and 77215 is 5961229645.
LCM(77203,77215) = 5961229645
Least Common Multiple of 77203 and 77215 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77203 and 77215, than apply into the LCM equation.
GCF(77203,77215) = 1
LCM(77203,77215) = ( 77203 × 77215) / 1
LCM(77203,77215) = 5961229645 / 1
LCM(77203,77215) = 5961229645
Least Common Multiple (LCM) of 77203 and 77215 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77203 and 77215. First we will calculate the prime factors of 77203 and 77215.
Prime Factorization of 77203
Prime factors of 77203 are 7, 41, 269. Prime factorization of 77203 in exponential form is:
77203 = 71 × 411 × 2691
Prime Factorization of 77215
Prime factors of 77215 are 5, 15443. Prime factorization of 77215 in exponential form is:
77215 = 51 × 154431
Now multiplying the highest exponent prime factors to calculate the LCM of 77203 and 77215.
LCM(77203,77215) = 71 × 411 × 2691 × 51 × 154431
LCM(77203,77215) = 5961229645
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