What is the Least Common Multiple of 98437 and 98455?
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 98437 and 98455 is 9691614835.
LCM(98437,98455) = 9691614835
Least Common Multiple of 98437 and 98455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98437 and 98455, than apply into the LCM equation.
GCF(98437,98455) = 1
LCM(98437,98455) = ( 98437 × 98455) / 1
LCM(98437,98455) = 9691614835 / 1
LCM(98437,98455) = 9691614835
Least Common Multiple (LCM) of 98437 and 98455 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98437 and 98455. First we will calculate the prime factors of 98437 and 98455.
Prime Factorization of 98437
Prime factors of 98437 are 173, 569. Prime factorization of 98437 in exponential form is:
98437 = 1731 × 5691
Prime Factorization of 98455
Prime factors of 98455 are 5, 7, 29, 97. Prime factorization of 98455 in exponential form is:
98455 = 51 × 71 × 291 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 98437 and 98455.
LCM(98437,98455) = 1731 × 5691 × 51 × 71 × 291 × 971
LCM(98437,98455) = 9691614835
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