What is the Least Common Multiple of 98532 and 98551?
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 98532 and 98551 is 9710427132.
LCM(98532,98551) = 9710427132
Least Common Multiple of 98532 and 98551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98532 and 98551, than apply into the LCM equation.
GCF(98532,98551) = 1
LCM(98532,98551) = ( 98532 × 98551) / 1
LCM(98532,98551) = 9710427132 / 1
LCM(98532,98551) = 9710427132
Least Common Multiple (LCM) of 98532 and 98551 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98532 and 98551. First we will calculate the prime factors of 98532 and 98551.
Prime Factorization of 98532
Prime factors of 98532 are 2, 3, 7, 17, 23. Prime factorization of 98532 in exponential form is:
98532 = 22 × 32 × 71 × 171 × 231
Prime Factorization of 98551
Prime factors of 98551 are 139, 709. Prime factorization of 98551 in exponential form is:
98551 = 1391 × 7091
Now multiplying the highest exponent prime factors to calculate the LCM of 98532 and 98551.
LCM(98532,98551) = 22 × 32 × 71 × 171 × 231 × 1391 × 7091
LCM(98532,98551) = 9710427132
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