What is the Least Common Multiple of 98037 and 98053?
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 98037 and 98053 is 9612821961.
LCM(98037,98053) = 9612821961
Least Common Multiple of 98037 and 98053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98037 and 98053, than apply into the LCM equation.
GCF(98037,98053) = 1
LCM(98037,98053) = ( 98037 × 98053) / 1
LCM(98037,98053) = 9612821961 / 1
LCM(98037,98053) = 9612821961
Least Common Multiple (LCM) of 98037 and 98053 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98037 and 98053. First we will calculate the prime factors of 98037 and 98053.
Prime Factorization of 98037
Prime factors of 98037 are 3, 3631. Prime factorization of 98037 in exponential form is:
98037 = 33 × 36311
Prime Factorization of 98053
Prime factors of 98053 are 31, 3163. Prime factorization of 98053 in exponential form is:
98053 = 311 × 31631
Now multiplying the highest exponent prime factors to calculate the LCM of 98037 and 98053.
LCM(98037,98053) = 33 × 36311 × 311 × 31631
LCM(98037,98053) = 9612821961
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