What is the Least Common Multiple of 93951 and 93962?
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 93951 and 93962 is 802529442.
LCM(93951,93962) = 802529442
Least Common Multiple of 93951 and 93962 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93951 and 93962, than apply into the LCM equation.
GCF(93951,93962) = 11
LCM(93951,93962) = ( 93951 × 93962) / 11
LCM(93951,93962) = 8827823862 / 11
LCM(93951,93962) = 802529442
Least Common Multiple (LCM) of 93951 and 93962 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93951 and 93962. First we will calculate the prime factors of 93951 and 93962.
Prime Factorization of 93951
Prime factors of 93951 are 3, 11, 13, 73. Prime factorization of 93951 in exponential form is:
93951 = 32 × 111 × 131 × 731
Prime Factorization of 93962
Prime factors of 93962 are 2, 11, 4271. Prime factorization of 93962 in exponential form is:
93962 = 21 × 111 × 42711
Now multiplying the highest exponent prime factors to calculate the LCM of 93951 and 93962.
LCM(93951,93962) = 32 × 111 × 131 × 731 × 21 × 42711
LCM(93951,93962) = 802529442
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