What is the Least Common Multiple of 98156 and 98169?
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 98156 and 98169 is 9635876364.
LCM(98156,98169) = 9635876364
Least Common Multiple of 98156 and 98169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98156 and 98169, than apply into the LCM equation.
GCF(98156,98169) = 1
LCM(98156,98169) = ( 98156 × 98169) / 1
LCM(98156,98169) = 9635876364 / 1
LCM(98156,98169) = 9635876364
Least Common Multiple (LCM) of 98156 and 98169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98156 and 98169. First we will calculate the prime factors of 98156 and 98169.
Prime Factorization of 98156
Prime factors of 98156 are 2, 53, 463. Prime factorization of 98156 in exponential form is:
98156 = 22 × 531 × 4631
Prime Factorization of 98169
Prime factors of 98169 are 3, 43, 761. Prime factorization of 98169 in exponential form is:
98169 = 31 × 431 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 98156 and 98169.
LCM(98156,98169) = 22 × 531 × 4631 × 31 × 431 × 7611
LCM(98156,98169) = 9635876364
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