What is the Least Common Multiple of 79197 and 79202?
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 79197 and 79202 is 6272560794.
LCM(79197,79202) = 6272560794
Least Common Multiple of 79197 and 79202 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79197 and 79202, than apply into the LCM equation.
GCF(79197,79202) = 1
LCM(79197,79202) = ( 79197 × 79202) / 1
LCM(79197,79202) = 6272560794 / 1
LCM(79197,79202) = 6272560794
Least Common Multiple (LCM) of 79197 and 79202 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79197 and 79202. First we will calculate the prime factors of 79197 and 79202.
Prime Factorization of 79197
Prime factors of 79197 are 3, 26399. Prime factorization of 79197 in exponential form is:
79197 = 31 × 263991
Prime Factorization of 79202
Prime factors of 79202 are 2, 199. Prime factorization of 79202 in exponential form is:
79202 = 21 × 1992
Now multiplying the highest exponent prime factors to calculate the LCM of 79197 and 79202.
LCM(79197,79202) = 31 × 263991 × 21 × 1992
LCM(79197,79202) = 6272560794
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