What is the Least Common Multiple of 70374 and 70378?
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 70374 and 70378 is 2476390686.
LCM(70374,70378) = 2476390686
Least Common Multiple of 70374 and 70378 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70374 and 70378, than apply into the LCM equation.
GCF(70374,70378) = 2
LCM(70374,70378) = ( 70374 × 70378) / 2
LCM(70374,70378) = 4952781372 / 2
LCM(70374,70378) = 2476390686
Least Common Multiple (LCM) of 70374 and 70378 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70374 and 70378. First we will calculate the prime factors of 70374 and 70378.
Prime Factorization of 70374
Prime factors of 70374 are 2, 3, 37, 317. Prime factorization of 70374 in exponential form is:
70374 = 21 × 31 × 371 × 3171
Prime Factorization of 70378
Prime factors of 70378 are 2, 7, 11, 457. Prime factorization of 70378 in exponential form is:
70378 = 21 × 71 × 111 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 70374 and 70378.
LCM(70374,70378) = 21 × 31 × 371 × 3171 × 71 × 111 × 4571
LCM(70374,70378) = 2476390686
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