What is the Least Common Multiple of 79088 and 79101?
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 79088 and 79101 is 6255939888.
LCM(79088,79101) = 6255939888
Least Common Multiple of 79088 and 79101 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79088 and 79101, than apply into the LCM equation.
GCF(79088,79101) = 1
LCM(79088,79101) = ( 79088 × 79101) / 1
LCM(79088,79101) = 6255939888 / 1
LCM(79088,79101) = 6255939888
Least Common Multiple (LCM) of 79088 and 79101 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79088 and 79101. First we will calculate the prime factors of 79088 and 79101.
Prime Factorization of 79088
Prime factors of 79088 are 2, 4943. Prime factorization of 79088 in exponential form is:
79088 = 24 × 49431
Prime Factorization of 79101
Prime factors of 79101 are 3, 11, 17, 47. Prime factorization of 79101 in exponential form is:
79101 = 32 × 111 × 171 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 79088 and 79101.
LCM(79088,79101) = 24 × 49431 × 32 × 111 × 171 × 471
LCM(79088,79101) = 6255939888
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